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Finding the Fourth Proportional to 11,884.52, 17,806.73 and 7,718.28

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Solution

The fourth proportional to 11,884.52, 17,806.73 and 7,718.28 is: 11,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.52 : 17,806.73 = 7,718.28 : x
  2. Step 2: Convert to fraction form
    11,884.52/17,806.73 = 7,718.28/x
  3. Step 3: Cross multiply
    11,884.52x = 17,806.73 × 7,718.28
  4. Step 4: Simplify right side
    11,884.52x = 137,437,289.43
  5. Step 5: Solve for x
    x = 137,437,289.43/11,884.52
  6. Step 6: Final answer
    x = 11,564.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.